The kinetic limit of a system of coagulating planar Brownian particles
Probability
2013-04-18 v3 Mathematical Physics
math.MP
Abstract
We study a model of mass-bearing coagulating planar Brownian particles. Coagulation is prone to occur when two particles become within a distance of order . We assume that the initial number of particles is of the order of $| \log \epsilon |. Under suitable assumptions on the initial distribution of particles and the microscopic coagulation propensities, we show that the macroscopic particle densities satisfy a Smoluchowski-type equation.
Keywords
Cite
@article{arxiv.math/0507522,
title = {The kinetic limit of a system of coagulating planar Brownian particles},
author = {Alan Hammond and Fraydoun Rezakhanlou},
journal= {arXiv preprint arXiv:math/0507522},
year = {2013}
}
Comments
46 pages. The statement of Corollary 1 has been corrected to include a time average. arXiv admin note: text overlap with arXiv:math/0408395